The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments of a certain college were counted, and the results are shown in the table below. Dept. Math Physics Chemistry Linguistics English Men 46 56 26 12 20 Women 4 5 3 2 17 Test the claim that the gender of a professor is independent of the department. Use the significance level a 0.01 The test statistic is x² The critical value is x² is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? CA. No OB. Yes

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments of a certain college were counted, and
the results are shown in the table below.
Dept. Math Physics Chemistry Linguistics English
26
12
20
Men 46 55
Women 4
5
3
2
17
Test the claim that the gender of a professor is independent of the department. Use the significance level a 0.01
The test statistic is 2-
The critical value is 2.
Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department?
A. No
OB. Yes
Transcribed Image Text:The number of men and women among professors in Math, Physics, Chemistry, Linguistics, and English departments of a certain college were counted, and the results are shown in the table below. Dept. Math Physics Chemistry Linguistics English 26 12 20 Men 46 55 Women 4 5 3 2 17 Test the claim that the gender of a professor is independent of the department. Use the significance level a 0.01 The test statistic is 2- The critical value is 2. Is there sufficient evidence to warrant the rejection of the claim that the gender of a professor is independent of the department? A. No OB. Yes
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